SOLUTION: we are in need for some answers to these problems, find the value of the discriminant and determine the number of solutions for each equation. 1. 4x2+3x+1=0 2. x2+2x-6=0 3. x2

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: we are in need for some answers to these problems, find the value of the discriminant and determine the number of solutions for each equation. 1. 4x2+3x+1=0 2. x2+2x-6=0 3. x2      Log On


   

Question 2146: we are in need for some answers to these problems, find the value of the discriminant and determine the number of solutions for each equation.
1. 4x2+3x+1=0
2. x2+2x-6=0
3. x2-5x+1=0
4. x2-4x+4=0
Please solve and let me know as soon as possible
thanks
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
the discriminant is the b^2-4ac bit of the quadratic formula. This number can be +ve, zero or -ve. Each of these three possibilities gives you an answer to the number of solutions, since:
sqrt%289%29 has 2 answers...+3 and -3, so the formula gives you 2 answers.
sqrt%280%29 has 1 answer... 0, so the formula gives you 1 answer.
sqrt%28-9%29 has no answer as far as you are concerned, so the formula gives you no answer.
so for each of your equations, work out if b^2-4ac is +ve, zero or -ve and this tells you how many solutions there are.
jon